Application of the extended Lie group analysis to the Hopf functional formulation of the Burgers equation

DOI10.1063/1.4812803zbMath1302.76151OpenAlexW2066601017WikidataQ115333282 ScholiaQ115333282MaRDI QIDQ5407594

Martin Oberlack, Marta Wacławczyk

Publication date: 7 April 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4812803

Mathematics Subject Classification ID

Statistical turbulence modeling (76F55) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60)

Related Items (4)

Conformal invariance of the Lungren–Monin–Novikov equations for vorticity fields in 2D turbulence ⋮ Comment on “Application of the extended Lie group analysis to the Hopf functional formulation of the Burgers equation” [J. Math. Phys. 54, 072901 (2013)] ⋮ Response to “Comment on ‘Application of the extended Lie group analysis to the Hopf functional formulation of the Burgers equation’” [J. Math. Phys. 57, 034102 (2016)] ⋮ Second-order invariants of the inviscid Lundgren-Monin-Novikov equations for \(2d\) vorticity fields

Cites Work

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• Stationary turbulent closure via the Hopf functional equation
• New statistical symmetries of the multi-point equations and its importance for turbulent scaling laws
• Burger's model of turbulence as a stochastic process
• PDFs for velocity and velocity gradients in Burgers’ turbulence
• Turbulent Flows
• CRC Handbook of Lie Group Analysis of Differential Equations, Volume I
• Remarks on the Burgers Equation
• Lie Algebra of the Symmetries of the Multi-Point Equations in Statistical Turbulence Theory
• Symmetries and differential equations

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